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Which option represents the largest value?

  1. Half of 92

  2. One-fourth of 188

  3. One-sixth of 276

  4. One-third of 300

The correct answer is: One-fourth of 188

To determine which option represents the largest value, it's crucial to calculate each expression: - Half of 92 is calculated as \( \frac{92}{2} = 46 \). - One-fourth of 188 is calculated as \( \frac{188}{4} = 47 \). - One-sixth of 276 is calculated as \( \frac{276}{6} = 46 \). - One-third of 300 is calculated as \( \frac{300}{3} = 100 \). After evaluating these options, it becomes clear that one-third of 300, which equals 100, is indeed the largest value among the choices given. The correct approach involves directly calculating each value rather than just estimating or making assumptions based on the fractions involved. By systematically breaking down the calculations, it is easier to see that one-third of 300 produces the largest numerical result. Therefore, the assertion that one-fourth of 188 is the largest is not supported by the calculated results.